In this paper the notion of fuzzy BF -algebra and fuzzy topological BF -algebras are introduced. We stated and proved some theorem in fuzzy BF -algebras and level subalgebras. Finally the Foster’s results on homomorphic images and inverse images in fuzzy topological BF algebras are studied. Mathematics Subject Classification: 06F35, 03G25, 94D05

Metric on the space of fuzzy sets plays a very important role in decision making and some other fuzzy application systems. The purpose of this paper is to give a fuzzy metric on the space of fuzzy numbers and investigate some of its properties. Mathematics Subject Classification: 03E72, 54A40, 54E35

Multi-fuzzy set theory is an extension of fuzzy set theory, which deals with the multi dimensional fuzziness. In this paper we introduce the concepts of multi-fuzzy subgroups and normal multi-fuzzy subgroups. Mathematics Subject Classification: MSC: 20N25; 03E72; 08A72

Measures on clans of fuzzy sets are traditionally studied as certain functionals on collections of [0, 1]-valued functions. The goal of this paper is to make first steps towards establishing this part of fuzzy mathematics as a formal theory over a suitable predicate fuzzy logic. Two concepts of formal measure theory are sketched within Henkin-style ω-order fuzzy logic.

L Introduction While it is still a general belief in society that mathematics is an "exact science", at the educational level it is generally accepted that it may be just as important to learn about the mathematics of approximations, errors, expectations, statistics, probabilities, etc. This can be seen today in mathematics cmricula at all levels but was not so clear just a few years ago. It to...

Many believe that employees’ health and economic factors plays an important role in their likelihood to purchase health insurance. However decision to purchase health insurance is not trivial matters as many risk factors that influence decision. This paper presents a decision model using fuzzy inference system to identify the likelihoods of purchasing health insurance based on the selected risk...

The paper sets forth in detail categorically-algebraic or catalg foundations for the operations of taking the image and preimage of (fuzzy) sets called forward and backward powerset operators. Motivated by an open question of S. E. Rodabaugh, we construct a monad on the category of sets, the algebras of which generate the fixed-basis forward powerset operator of L. A. Zadeh. On the next step, w...

An optimal scheduling approach has been developed for coordinating product delivery activities using fuzzy mathematics. In this approach, optimal delivery scheduling is carried out at three different levels, for situations involving: (1) one driver and one load, (2) one driver and multiple loads, and (3) multiple drivers and multiple loads. Fuzzy-based clustering methods are employed to classif...

In the present communication, we review the existing measures of fuzzy information. We define and characterize two fuzzy information measures which are sub additive and different from known measures of fuzzy information. We also study monotonic behavior and particular cases of these fuzzy information measures. 2000 Mathematics Subject Classification: 94A17 and 94 D 05